Answer:
20%
Step-by-step explanation:
12/15 = .8
subtract from 1
gives you .2
convert to a percentage
.2 = 20%
The speed of the current is 13 mph
<h3>What is speed?</h3>
speed refers to distance travelled per unit time. This is a vector quantity this implies that it has magnitude and direction.
The unit for speed as used here is miles per hour and can be written in short form as mph
<u>Given data</u>
speed of boat = 15 miles per hour = 15 mph
distance = 44 miles upstream
total time for the trip = 7.5 hours
<h3>solving for the speed of the current</h3>
let the water current be x
speed = distance / time
the total travel time upstream and downstream is known
for upstream
15 - x = 44 / time
time = 44 / 15 - x
for downstream
15 + x = 44 / time
time = 44 / 15 + x
total time = time for upstream + time for downstream = 7.5
7.5 = (44 / 15 - x ) + ( 44 / 15 + x )
7.5 = ( 44 ( 15 + x ) + 44 ( 15 - x ) ) / ( 15 + x )( 15 - x )
7.5 ( 15 + x )( 15 - x ) = 210 +44x + 210 - 44x
7.5 ( 225 - x ^ 2 ) = 420
( 225 - x ^ 2 ) = 56
169 = x ^ 2
x = sqrt ( 169 )
x = 13 miles per hour
hence speed of current is 13 miles per hour
Read more on speed here: brainly.com/question/4931057
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x > y is the same like y < x
If a > b and b > c then a > b > c
If d > a then d > a > b > c
<h3>Answer: (D) c < b < a < d</h3>
Step-by-step explanation:
your teacher was very nice and warned you about the trap in the question.
so, really, what do we have to do ?
a full circle represents 360°.
the shaded sector is the full circle minus the white sector !
this is the same as directly calculating the shaded sector for 360-75 = 285°.
so, the area of a circle is
pi×r²
in our case
pi×20² = 400pi
the needed fraction of the whole circle is either
75/360, if we want to subtract it for the solution
or
285/360, if we want to calculate the solution directly.
both lead to the same result.
400pi×360/360 - 400pi×75/360 =
= 400pi × 285/360 = 10pi × 285/9 = 2850pi/9 =
= 316.6666666...pi ≈ 316.7pi
Answer:
4, 15, 6, 18.
Step-by-step explanation:
- 12 = 1, 2, 3, 4, 6, 12 16 = 1, 2, 4, 8, 16 The GCF of 12 and 16 is 4 because when you compare the numbers that go into 12 and 16, 4 is the highest number that they both are multiples of.
Try the others by yourself and if you have any questions ask me in the comments
